The Patterns of the Power Spectral Density Distribution of Fractal and Multifractal Processes

Abstract

This article deals with characteristic differences between the power spectral densities of monofractal and multifractal dynamical processes. The differences are analyzed from the point of view of determining the damage to the components of an engineering system by fractal analysis of the diagnostic data. As an example, the rolling bearing of a centrifugal pump is studied.

Akhmetkhanov, R.S., Application of fractal theory and wavelet analysis for identification of time series specific features in system diagnosis, Vestn. Nauch.-Tekh. Razvit., 2009, no. 1, pp. 26–31.Google Scholar